Discrete Mathematics Answers

If n is any even integer and m is any odd integer, then (n + 2)2 - (m - 1)2 is even.

​ For the function f defined by f(n) =n2+ 1/n+ 1 for n∈N, show that f(n)∈Θ(n). Use

DISCUSS AND ILLUSTRATE WITH EXAMPLES. 15 POINTS EACH QUESTION.


B. Universal Relations


C. Identity Relations

D. Inverse Relations

E. Reflexive Relations

F. Symmetric Relations

G. Transitive Relations

Each of the following numbers represents a signed decimal number in the 2’s complement system. Determine the decimal value in each case
 10011001
 11101
 01111011

The recursive definition of a function X is given as:
f(0)=5 and f(n)=f(n-2)+5
Now, find out the value of f(14) using the above function.

Among the integer 1 to 300,find how many are not divisible by 3,nor by 5 also find how many are divisible by 3but not by 7

Consider the relation on the set of integer R={(a, b) /a=b+1} check whether it is equivalence relation

The recursive definition of a function X is given as:
f(0)=5 and f(n)=f(n-2)+5
Now, find out the value of f(14) using the above function.

Explain graph isomorphism with proper diagrams.